简介:Thekeyideabehindculturalalgorithmistoexplicitlyacquireproblem-solvingknowledgefromtheevolvingpopulationandinreturnapplythatknowledgetoguidethesearch.Inthisarticle,culturalalgorithm-simulatedannealingisproposedtosolvetheroutingproblemofmobileagent.Theoptimalindividualisacceptedtoimprovethebeliefspace’sevolutionofculturalalgorithmsbysimulatedannealing.Thestepsizeinsearchisusedassituationalknowledgetoguidethesearchofoptimalsolutioninthepopulationspace.Becauseofthisfeature,thesearchtimeisreduced.Experimentalresultsshowthatthealgorithmproposedinthisarticlecanensurethequalityofoptimalsolutions,andalsohasbetterconvergencespeed.Theoperationefficiencyofthesystemisconsiderablyimproved.
简介:在这篇论文,我们为解决建议一个GL方法平常并且在数学物理和化学家和工程的部分微分方程。这些方程管理acustic,加热,电磁,橡皮,塑料,流动,和量等等宏和微波浪及时回答领域和频率领域。微分方程的空格域是包括有限的不同类的域的无限的领域。不同类的领域被划分成有限潜水艇领域。我们在场是的微分方程的答案在不同类的潜水艇领域的积分的明确的递归的和。Actualy,我们建议不同类的参数的一个明确的代表非线性的倒置。在无限的同类的域的方程的分析解决方案作为起始的全球域被叫。全球地被连续地散布地的本地人更新由子域的子域。一旦所有子域被散布,更新的进程在所有潜水艇域被完成,方程的解决方案被获得。简言之,我们作为全球、本地的地方法调用我们的方法GL方法。它与女性的方法不同,GL方法直接装配反的矩阵并且得到答案。没有大矩阵方程需要在GL方法解决。为在GL方法的无限的领域没有需要的人工的边界和没有吸收边界条件。我们在在域解决方案和格林是我们的GL方法的理论库的函数之间的关系上证明了几条定理。GL方法的数字discretization被介绍。我们证明到准确答案的GL方法集中的数字答案当潜水艇领域的尺寸将去零时。为解决波浪方程的GL方法的错误评价被介绍。模拟证明GL方法为解决椭圆形、抛物线、夸张的方程精确、快、稳定。GL方法在3D有优点和宽应用电磁(他们)地震的地,声学的地,流动地,和量回答的地,3D橡皮和塑料等等。为上述3D他们等等域的GL方法软件被开发。
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简介:InthispaperwedevelopmultileveliterationmethodsforsolvinglinearsystemsresultingfromtheGalerkinmethodandTikhonovregularizationforill-posedproblems.Thealgorithmanditsconvergenceanalysisarepresentedinanabstractframework.
简介:Twodynamicalsystemmethodsarestudiedforsolvinglinearill-posedproblemswithbothoperatorandright-handnonexact.ThemethodssolveaCauchyproblemforalinearoperatorequationwhichpossessesaglobalsolution.Thelimitoftheglobalsolutionatinfinitysolvestheoriginallinearequation.Moreover,wealsopresentaconvergentiterativeprocessforsolvingtheCauchyproblem.
简介:Theparameterembeddingmethodisappliedfornumericallysolvingtheperturbedconservativesystems.BymeansofNewtonianiteration,asimplealgorithmhasbeenconstructed.Finally,theconvergenceoftheiterationisproved.
简介:such type of scheme is extnded to the 2D shallow water equations. A finite volume method on arbitrary quadrilateral elements is presented to solve shallow water flow problems with complex boundaries and having discontinuities.,A high-resolution finite volume numerical method for solving the shallow water equations is developed in this paper. In order to extend finite difference TVD scheme to finite volume method,Fig. 3(a) Water surface elevation for a rectangular dam-break Fig. 3(b) Contour of surface elevation for a rectangular dam-break
简介:Inflexiblejob-shopbatchschedulingproblem,theoptimallot-sizeofdifferentprocessisnotalwaysthesamebecauseofdifferentprocessingtimeandset-uptime.Evenforthesameprocessofthesameworkpiece,thechoiceofmachinealsoaffectstheoptimallot-size.Inaddition,differentchoicesoflot-sizebetweentheconstrainedprocesseswillimpactthemanufactureefficiency.Consideringthateachprocesshasitsownappropriatelot-size,weputforwardtheconceptofschedulingwithlot-splittingbasedonprocessandsetuptheschedulingmodeloflot-splittingtocriticalpathprocessasthecore.Themodelcouldupdatethesetofbatchprocessandmachineselectionstrategydynamicallytodetermineprocessingrouteandarrangeproperlot-sizefordifferentprocesses,toachievethepurposeofoptimizingthemakespanandreducingtheprocessingbatcheseffectively.Theexperimentresultsshowthat,comparingwithlot-splittingschedulingschemebasedonworkpiece,thismodeloptimizesthemakespanandimprovestheutilizationefficiencyofthemachine.Italsogreatlydecreasesthemachinedbatches(42%)andreducesthecomplexityofshopschedulingproductionmanagement.
简介:Inthispaper,wefirstgiveasmoothingapproximationfunctionofnonsmoothsystembasedonboxconstrainedvariationalinequalitiesandthenpresentanewsmoothingapproximationalgorithm.Undersuitableconditions,weshowthatthemethodisgloballyandsuperlinearlyconvergent.Afewnumericalresultsarealsoreportedinthepaper.
简介:Anewefficientcouplingrelationshipdescriptionmethodhasbeendevelopedtoprovideanautomatedandvisualizedwaytomultidisciplinarydesignoptimization(MDO)modelingandsolving.Thedisciplinaryrelationmatrix(DRM)isproposedtodescribethecouplingrelationshipaccordingtodisciplinaryinput/outputvariables,andtheMDOdefinitionhasbeenreformulatedtoadoptthenewinterfaces.Basedonthese,auniversalMDOsolvingprocedureisproposedtoestablishanautomatedandefficientwayforMDOmodelingandsolving.Throughasimpleandconvenientinitialconfiguration,MDOproblemscanbesolvedusinganyofavailableMDOarchitectureswithnofurthereffort.SeveralexamplesareusedtoverifytheproposedMDOmodelingandsolvingprocess.ResultshowsthattheDRMmethodhastheabilitytosimplifyandautomatetheMDOprocedure,andtherelatedMDOframeworkcanevaluatetheMDOproblemautomaticallyandefficiently.
简介:Ananalysisofsolvingtheelectromagneticscatteringbyburiedobjectsusingvectorwavefunctionexpansionispresented.Forexpandingtheboundaryconditionsbothontheplanarair-earthinterfaceandonthesphericalsurface,theconversionrelationsbetweenthecylindricalandsphericalvectorwavefunctionsarederived.Hencethevectorwavefunctionexpansionisconvenientlyappliedtosolvethiscomplexboundary-valueproblem.Fortheexcitationofthein-cidentplanewaveandthedipoleabovetheearth,thescatterlngpatternsoftheburiedconductinganddielectricspheresarepresentedanddiscussed.
简介:Basedonsomerecentresultsforinterlacingeigenvalueintervalsfrom1-parameterfamiliesofsequencesofeigenvalueinequalities,anewmethodisgiventosolvingtheindexproblemforSturm-Liouvilleeigenvaluesforcoupledself-adjointboundaryconditionsintheregularcase.ThekeyisanewcharacteristicprincipleforindicesforSturm-Liouvilleeigenvalues.Thealgorithmcorrespondingonthecharacteristicprinciplearediscussed,andnumericalexamplesarepresentedtoillustratethetheoreticalresultsandshowthatthealgorithmisvalid.
简介:ThispaperanalyzesthequeuingproblemthatwasexperiencedduringtheShanghaiWorldExpoof2010.Thequeuingproblemwillbediscussedatthreelevels.Thethreelevelsincludethephysical,psychological,andsocialaspectsofthequeuingproblem.Thecollectivebehaviorofvisitorsisstudiedthroughanalyzingtheinformationfromthedifferentsources,suchas,thenetworkofelectroniceyes,theevaluationplatformbasedonmobilephonesystemandtheInternet.Ahybridinformationnetworktechnologyisimplemented.BasedontheWuli-Shili-Renli(WSR)systemmethodology,anewtheoreticalanalysisframeworkforthequeuingproblemisproposed.
简介:Aneuralnetwork(NN)isapowerfultoolforapproximatingboundedcontinuousfunctionsinmachinelearning.TheNNprovidesaframeworkfornumericallysolvingordinarydifferentialequations(ODEs)andpartialdifferentialequations(PDEs)combinedwiththeautomaticdifferentiation(AD)technique.Inthiswork,weexploretheuseofNNforthefunctionapproximationandproposeauniversalsolverforODEsandPDEs.ThesolveristestedforinitialvalueproblemsandboundaryvalueproblemsofODEs,andtheresultsexhibithighaccuracyfornotonlytheunknownfunctionsbutalsotheirderivatives.ThesamestrategycanbeusedtoconstructaPDEsolverbasedoncollocationpointsinsteadofamesh,whichistestedwiththeBurgersequationandtheheatequation(i.e.,theLaplaceequation).